After meeting Caitlyn Jenner for the first time on July 18 at a private screening of her upcoming docu******, I Am Cait, Laverne Cox is opening up About the pair's beautiful new friendship. During an appearance on The Late Late Show With James Corden on Monday, the Orange Is the New Black star told the host that she's extremely proud of Caitlyn for going through her transition so publicly. Laverne, who spoke to Caitlyn shortly after her inspiring ESPYs speech, also opened up About how different Caitlyn's transition is to what she went through in her 20s. "She's Such a sweet woman, loves her family . . . and just thinking About the paparazzi life that she has, I don't want that life," Laverne said. "What I think is so beautiful About this - my visibility and Caitlyn's visibility - is that diverse representations of trans people in the media I think are so important." Watch the sweet interview above, and then check out the latest clip from I Am Cait, which premieres on E! on July 26.